1824072 has 16 divisors (see below), whose sum is σ = 4560240. Its totient is φ = 608016.

The previous prime is 1824047. The next prime is 1824073. The reversal of 1824072 is 2704281.

It is a super-2 number, since 2×1824072² = 6654477322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 76003 = 1824072 / (1 + 8 + 2 + 4 + 0 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (1824073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37978 + ... + 38025.

It is an arithmetic number, because the mean of its divisors is an integer number (285015).

2^1824072 is an apocalyptic number.

1824072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1824072 is an abundant number, since it is smaller than the sum of its proper divisors (2736168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1824072 is a wasteful number, since it uses less digits than its factorization.

1824072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76012 (or 76008 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 1824072 is about 1350.5820967272. The cubic root of 1824072 is about 122.1839025264.

It can be divided in two parts, 18 and 24072, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 1824072 in words is "one million, eight hundred twenty-four thousand, seventy-two".